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  2. Rectilinear polygon - Wikipedia

    en.wikipedia.org/wiki/Rectilinear_polygon

    A rectilinear polygon has edges of two types: horizontal and vertical. Lemma: The number of horizontal edges is equal to the number of vertical edges (because every horizontal edge is followed by a vertical edge and vice versa). Corollary: Orthogonal polygons have an even number of edges. X marks convex corners; O marks concave corners.

  3. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    This example shows 4 blue edges of the rectangle, and two green diagonals, all being diagonal of the cuboid rectangular faces. In spherical geometry, a spherical rectangle is a figure whose four edges are great circle arcs which meet at equal angles greater than 90°. Opposite arcs are equal in length.

  4. Squircle - Wikipedia

    en.wikipedia.org/wiki/Squircle

    A squircular plate has a larger area (and can thus hold more food) than a circular one with the same radius, but still occupies the same amount of space in a rectangular or square cupboard. [ 8 ] Many Nokia phone models have been designed with a squircle-shaped touchpad button, [ 9 ] [ 10 ] as was the second generation Microsoft Zune . [ 11 ]

  5. Heptagon - Wikipedia

    en.wikipedia.org/wiki/Heptagon

    In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon.. The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.

  6. Fillet (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Fillet_(mechanics)

    Smooth edges connecting two simple flat features are generally simple for a computer to create and fast for a human user to specify. Once these features are included in the CAD design of a part, they are often manufactured automatically using computer-numerical control .

  7. Manifold - Wikipedia

    en.wikipedia.org/wiki/Manifold

    A smooth 2-manifold: ... A manifold with boundary is a manifold with an edge. ... so that it could unroll to become a rectangle, but keep a grasp on the cut ends. ...

  8. Differential geometry of surfaces - Wikipedia

    en.wikipedia.org/wiki/Differential_geometry_of...

    It is intuitively clear that a sphere is smooth, while a cone or a pyramid, due to their vertex or edges, are not. The notion of a "regular surface" is a formalization of the notion of a smooth surface. The definition utilizes the local representation of a surface via maps between Euclidean spaces. There is a standard notion of smoothness for ...

  9. Simple polygon - Wikipedia

    en.wikipedia.org/wiki/Simple_polygon

    The line segments that form a polygon are called its edges or sides. An endpoint of a segment is called a vertex (plural: vertices) [2] or a corner. Edges and vertices are more formal, but may be ambiguous in contexts that also involve the edges and vertices of a graph; the more colloquial terms sides and corners can be used to avoid this ...